Lyapunov fractal

Known as: Lyapunov, Markus-Lyapunov fractal 
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map… (More)
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Related topics

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5 relations
AlgorithmBifurcation theoryFractalList of chaotic maps
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Papers overview

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Review
2017
Review
2017
Review on computational methods for Lyapunov functions
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications. They… (More)
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Review
2017
Review
2017
Recent developments on the stability of systems with aperiodic sampling: An overview
This article presents basic concepts and recent research directions about the stability of sampled-data systems with aperiodic… (More)
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Highly Cited
2005
Highly Cited
2005
Stability of multiagent systems with time-dependent communication links
  • Luc Moreau
  • IEEE Transactions on Automatic Control
  • 2005
We study a simple but compelling model of network of agents interacting via time-dependent communication links. The model finds… (More)
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Highly Cited
2004
Highly Cited
2004
Consensus problems in networks of agents with switching topology and time-delays
In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three… (More)
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Highly Cited
2002
Highly Cited
2002
Lyapunov Exponents and Smooth Ergodic Theory
This book provides a systematic introduction to smooth ergodic theory, including the general theory of Lyapunov exponents… (More)
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Highly Cited
1998
Highly Cited
1998
Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems
In this paper, we introduce some analysis tools for switched and hybrid systems. We first present work on stability analysis. We… (More)
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Highly Cited
1996
Highly Cited
1996
Predictability in the large : an extension of the concept of Lyapunov exponent
We investigate the predictability problem in dynamical systems with many degrees of freedom and a wide spectrum of temporal… (More)
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Highly Cited
1993
Highly Cited
1993
A practical method for calculating largest Lyapunov exponents from small data sets
Detecting the presence of chaos in a dynamical system is an important problem that is solved by measuring the largest Lyapunov… (More)
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Highly Cited
1991
Highly Cited
1991
Gaussian Networks for Direct Adaptive Control
A direct adaptive tracking control architecture is proposed and evaluated for a class of continuous-time nonlinear dynamic… (More)
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Highly Cited
1985
Highly Cited
1985
DETERMINING LYAPUNOV EXPONENTS FROM A TIME SERIES
We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series… (More)
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